GCD of 971, 785, 89, 690 Calculator

Given Input numbers are 971, 785, 89, 690

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 971, 785, 89, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 785, 89, 690 is 1.

Therefore, GCD of numbers 971, 785, 89, 690 is 1

Given Input Data is 971, 785, 89, 690

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 971 is 971

Prime Factorization of 785 is 5 x 157

Prime Factorization of 89 is 89

Prime Factorization of 690 is 2 x 3 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(971, 785) = 762235

GCD(971, 785) = ( 971 x 785 ) / 762235

GCD(971, 785) = 762235 / 762235

GCD(971, 785) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 971, 785, 89, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 862, 53, 953
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• GCD of 665, 425, 49, 493

1. What is the GCD of 971, 785, 89, 690?

GCD of 971, 785, 89, 690 is 1

2. Where do I get the detailed procedure to find GCD of 971, 785, 89, 690?

You can find a detailed procedure to find GCD of 971, 785, 89, 690 on our page.

3. How to find GCD of 971, 785, 89, 690 on a calculator?

You can find the GCD of 971, 785, 89, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.